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In the companion paper [C. Maugis and B. Michel, A non asymptotic penalized criterion for Gaussian mixture model selection. ESAIM: P&S 15 (2011) 41-68] , a penalized likelihood criterion is proposed to select a Gaussian mixture model among a specific model collection. This criterion depends on unknown constants which have to be calibrated in practical situations. A “slope heuristics” method is described and experimented to deal with this practical problem. In a model-based clustering context, the specific form of the considered Gaussian mixtures allows us to detect the noisy variables in order to improve the data clustering and its interpretation. The behavior of our data-driven criterion is highlighted on simulated datasets, a curve clustering example and a genomics application.
Keywords: slope heuristics, penalized likelihood criterion, model-based clustering, noisy variable detection
@article{PS_2011__15__320_0,
author = {Maugis, Cathy and Michel, Bertrand},
title = {Data-driven penalty calibration: {A} case study for gaussian mixture model selection},
journal = {ESAIM: Probability and Statistics},
pages = {320--339},
publisher = {EDP-Sciences},
volume = {15},
year = {2011},
doi = {10.1051/ps/2010002},
mrnumber = {2870518},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ps/2010002/}
}
TY - JOUR AU - Maugis, Cathy AU - Michel, Bertrand TI - Data-driven penalty calibration: A case study for gaussian mixture model selection JO - ESAIM: Probability and Statistics PY - 2011 SP - 320 EP - 339 VL - 15 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ps/2010002/ DO - 10.1051/ps/2010002 LA - en ID - PS_2011__15__320_0 ER -
%0 Journal Article %A Maugis, Cathy %A Michel, Bertrand %T Data-driven penalty calibration: A case study for gaussian mixture model selection %J ESAIM: Probability and Statistics %D 2011 %P 320-339 %V 15 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ps/2010002/ %R 10.1051/ps/2010002 %G en %F PS_2011__15__320_0
Maugis, Cathy; Michel, Bertrand. Data-driven penalty calibration: A case study for gaussian mixture model selection. ESAIM: Probability and Statistics, Tome 15 (2011), pp. 320-339. doi: 10.1051/ps/2010002
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